Blackcomb: Difference between revisions

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'''Blackcomb''' is a [[5/3]]-repeating [[regular temperament]] that tempers out [[250/243]] in the 5-limit, the amount by which three [[3/2]]'s exceed [[5/4]]. This implies a generator of a [[Blackwood]]-like sharp fifth which is quite "dirty" but still recognizable. It possesses [[MOS scale]]s of the form [[1L 3s (5/3-equivalent)|1L 3s<5/3>]], [[1L 4s (5/3-equivalent)|1L 4s<5/3>]], making it an antidiatonic tuning, and [[6L 5s (5/3-equivalent)|6L 5s<5/3>]]. [[17ed5/3]] is an excellent tuning for this temperament with the generator of 14\17ed5/4 being a fraction of a cent away from the CTE generator.
'''Blackcomb''' is a [[5/3]]-repeating [[regular temperament]] that tempers out [[250/243]] in the 5-limit, the amount by which three [[3/2]]'s exceed [[5/4]]. This implies a generator of a [[Blackwood]]-like sharp fifth which is quite "dirty" but still recognizable. It possesses [[MOS scale]]s of the form [[1L 3s (5/3-equivalent)|1L 3s<5/3>]], [[1L 4s (5/3-equivalent)|1L 4s<5/3>]], making it an antidiatonic tuning, [[5L 1s (5/3-equivalent)|5L 1s<5/3>]], and [[6L 5s (5/3-equivalent)|6L 5s<5/3>]]. [[16ed5/3]] is one of the best tunings for this temperament that is not a pseudo-EDO.


== Interval chain (CTE tuning) ==
== Interval chain (CTE tuning) ==

Revision as of 00:08, 10 March 2023

Blackcomb is a 5/3-repeating regular temperament that tempers out 250/243 in the 5-limit, the amount by which three 3/2's exceed 5/4. This implies a generator of a Blackwood-like sharp fifth which is quite "dirty" but still recognizable. It possesses MOS scales of the form 1L 3s<5/3>, 1L 4s<5/3>, making it an antidiatonic tuning, 5L 1s<5/3>, and 6L 5s<5/3>. 16ed5/3 is one of the best tunings for this temperament that is not a pseudo-EDO.

Interval chain (CTE tuning)

Generators up Cents
0 0.0
1 728.8
2 573.2
3 417.6
4 262.0
5 106.4
6 835.2
7 679.6
8 524.0
9 368.4
10 212.8

Chords

Blackcomb is structured on 4:5:6 triads like octave-repeating meantone temperament. However, because Blackcomb is a much less accurate temperament, the major third and perfect fifth are usually tuned very sharp, with the major third often being closer to 9/7 than 5/4.